\frac{1}{6} \times \frac{5}{9} =
Answer (2)
To find the product of 6 1 and 9 5 , multiply the numerators to get 5 and the denominators to get 54, resulting in 54 5 . This fraction is already in its simplest form. Thus, the final answer is 54 5 .
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Multiply the numerators: 1 × 5 = 5 .
Multiply the denominators: 6 × 9 = 54 .
Express the result as a fraction: 54 5 .
The final answer is 54 5 .
Explanation
Problem Analysis We are asked to multiply two fractions: 6 1 and 9 5 . To do this, we multiply the numerators together and the denominators together.
Multiplying Numerators First, multiply the numerators: 1 × 5 = 5 .
Multiplying Denominators Next, multiply the denominators: 6 × 9 = 54 .
Final Fraction So, the result is 54 5 . This fraction is already in its simplest form because 5 is a prime number and does not divide 54.
Final Answer Therefore, 6 1 × 9 5 = 54 5 .
Examples
Understanding fraction multiplication is essential in many real-life scenarios. For instance, if you are baking a cake and a recipe calls for 6 1 of a cup of sugar, but you only want to make 9 5 of the recipe, you would multiply 6 1 × 9 5 to find out how much sugar you need. This calculation tells you that you need 54 5 of a cup of sugar.
